The notes for the physics lab on vectors focus on understanding vector quantities and their applications. Key topics include vector addition, subtraction, and resolution into components. The lab involves graphical and mathematical methods to combine vectors and verify results experimentally, emphas...
quantities wh only magnitude ·
vector components
D
·
vectors
·
A
vectorsare notInherently
o i
quantities wi magnitude a direction Ay
·
represented by arrows
A
·
* represented by Ax
·
can freely more around
question II
·
·
two vectors are equal if they have the same magnitude a direction
·
11
represented by
a) x
+
Ax 5 4 CoS (45) 3 8
a
= .
= .
m
·
vector addition a subtraction
Ay = S .
4 Sin (45) = 3 Om .
·
resultant : sum of rec tors
·
more head of first vector to tail of the second
drawn from tall of first to head of second
a
·
resultant is & Y
bl B Bx = -
7 . SCOS (66) =
-
2 8 m .
·
question 1 By
68 )
.
By = 7 .
5 Sin (68) : 7 . Om
*
Bx
-
·
- &
b
CX
C
-
(x = -
9 8cos(1S) .
=
-
9 5 mis .
cy is
C cy = -9 8 sin (15) .
=
-2 S .
mis
question 2
·
Y
what is the resultant if we addedI n opposite order ?
·
the resultant vector would still be the same bic the
vectors still have the same magnitude & direction
·
question 13 a
·
question 3
·
uncertainties of x2dy2 .
X = 80 , y = 60 ,
DX =
Ay = S
·
when does Ip + Q1 = 1P1 + 1Q1 DX2 = 2X -
DX
when the magnitudes of pdQ are either both positive
=
2(80)(5) =
800
or
both negative
Dy2 = 2y .
DY
↳ directions must be the same
=
2(60)(5) =
600
question 4
·
·
question 13b
·
process of finding A-B
·
uncertainty in w = X 2 + y2
·
vector B must be drawn in the opposite direction of vector B
Aw =
2x DX +
2yDY
·
multiplication by scalar
= 800 + 600 = 1400
·
we c a n multiply a vector by a scalar
question 13c
·
·
this changes the magnitude of a vector while keeping its direction fixed
x +
y2
uncertainty 2 =
·
in
·
questions 5-9
2
2 xDX +
2YAY
5 .
A + 7 .
( + B .
9 3A -
2 B
Dz =
A 2x2 + y2
Bach
R D
3A
D
a C
I 1408
&
602:7
a
2802 +
2B
A- B
-
6 .
.
8 2A + 2B
·
procedure
A
* &
D
for part I
R
uncertainty
·
R 2B
-x
-
B my =
129
D
uncertainty = 10 .
59
mz =
169
2A
2
R = (m , ) + (mz) =
20
AR = 2 M , AM ,+ 2 MIAMI 12 + 16
= =
0 7 .
40
2 m ,
2
+ my
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